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Finding the Fourth Proportional to 12,777.68, 19,163.64 and 3,544.40

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Solution

The fourth proportional to 12,777.68, 19,163.64 and 3,544.40 is: 5,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.68 : 19,163.64 = 3,544.40 : x
  2. Step 2: Convert to fraction form
    12,777.68/19,163.64 = 3,544.40/x
  3. Step 3: Cross multiply
    12,777.68x = 19,163.64 × 3,544.40
  4. Step 4: Simplify right side
    12,777.68x = 67,923,605.62
  5. Step 5: Solve for x
    x = 67,923,605.62/12,777.68
  6. Step 6: Final answer
    x = 5,315.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.